What is the Least Common Multiple of 74214 and 74233?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 74214 and 74233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74214 and 74233, than apply into the LCM equation.

GCF(74214,74233) = 19
LCM(74214,74233) = ( 74214 × 74233) / 19
LCM(74214,74233) = 5509127862 / 19
LCM(74214,74233) = 289954098

Least Common Multiple (LCM) of 74214 and 74233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74214 and 74233. First we will calculate the prime factors of 74214 and 74233.

Prime Factorization of 74214

Prime Factorization of 74233

Now multiplying the highest exponent prime factors to calculate the LCM of 74214 and 74233.

LCM(74214,74233) = 2¹ × 3² × 7¹ × 19¹ × 31¹ × 3907¹
LCM(74214,74233) = 289954098